Any other polygon that does not have 4 sides
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A concave quadrilateral. An arrowhead or a delta, for example.
A non-regular quadrilateral is one where all the sides are not the same length. Therefore any rectangle (that is not technically a square) is a non-regular quadrilateral.
A 4 sided arrowhead quadrilateral would fit the description.
Infinitely many points are contained within a non-degenerate quadrilateral.
opposite sides